Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications
The purpose of this paper is to develop some fuzzy fixed point results for the sequence of locally fuzzy mappings satisfying rational type almost contractions in complete dislocated metric spaces. We apply our results to obtain new results for set-valued and single-valued mappings. We also study the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/10/556 |
| _version_ | 1827650159947808768 |
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| author | Aqeel Shahzad Abdullah Shoaib Nabil Mlaiki Suhad Subhi Aiadi |
| author_facet | Aqeel Shahzad Abdullah Shoaib Nabil Mlaiki Suhad Subhi Aiadi |
| author_sort | Aqeel Shahzad |
| collection | DOAJ |
| description | The purpose of this paper is to develop some fuzzy fixed point results for the sequence of locally fuzzy mappings satisfying rational type almost contractions in complete dislocated metric spaces. We apply our results to obtain new results for set-valued and single-valued mappings. We also study the stability of fuzzy fixed point <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-level sets. An example is presented in favor of these results. |
| first_indexed | 2024-03-09T20:11:29Z |
| format | Article |
| id | doaj.art-3f74f15da87c409f9bcd2fa99b0bcca1 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T20:11:29Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-3f74f15da87c409f9bcd2fa99b0bcca12023-11-24T00:11:32ZengMDPI AGFractal and Fractional2504-31102022-09-0161055610.3390/fractalfract6100556Results for Fuzzy Mappings and Stability of Fuzzy Sets with ApplicationsAqeel Shahzad0Abdullah Shoaib1Nabil Mlaiki2Suhad Subhi Aiadi3Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaThe purpose of this paper is to develop some fuzzy fixed point results for the sequence of locally fuzzy mappings satisfying rational type almost contractions in complete dislocated metric spaces. We apply our results to obtain new results for set-valued and single-valued mappings. We also study the stability of fuzzy fixed point <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-level sets. An example is presented in favor of these results.https://www.mdpi.com/2504-3110/6/10/556fuzzy mappingcomplete dislocated metric spaceshausdorff metricfixed pointrational type almost contraction |
| spellingShingle | Aqeel Shahzad Abdullah Shoaib Nabil Mlaiki Suhad Subhi Aiadi Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications Fractal and Fractional fuzzy mapping complete dislocated metric spaces hausdorff metric fixed point rational type almost contraction |
| title | Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications |
| title_full | Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications |
| title_fullStr | Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications |
| title_full_unstemmed | Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications |
| title_short | Results for Fuzzy Mappings and Stability of Fuzzy Sets with Applications |
| title_sort | results for fuzzy mappings and stability of fuzzy sets with applications |
| topic | fuzzy mapping complete dislocated metric spaces hausdorff metric fixed point rational type almost contraction |
| url | https://www.mdpi.com/2504-3110/6/10/556 |
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